1305352213020 has 120 divisors (see below), whose sum is σ = 4164344276400. Its totient is φ = 342194001408.

The previous prime is 1305352213001. The next prime is 1305352213043. The reversal of 1305352213020 is 203122535031.

It is a happy number.

1305352213020 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 3 + 522 + 130 + 2 + 0 = 666.

It is a super-2 number, since 2×1305352213020² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6733005 + ... + 6924164.

It is an arithmetic number, because the mean of its divisors is an integer number (34702868970).

Almost surely, 2^{1305352213020} is an apocalyptic number.

1305352213020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1305352213020 is an abundant number, since it is smaller than the sum of its proper divisors (2858992063380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1305352213020 is a wasteful number, since it uses less digits than its factorization.

1305352213020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13657249 (or 13657238 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 1305352213020 its reverse (203122535031), we get a palindrome (1508474748051).

The spelling of 1305352213020 in words is "one trillion, three hundred five billion, three hundred fifty-two million, two hundred thirteen thousand, twenty".